SOLUTION: Find the exact solution to the equation 3^(x+5)=9x

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Question 85087: Find the exact solution to the equation 3^(x+5)=9x
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming your problem looks like this
3%5E%28x%2B5%29=9%5Ex


3%5E%28x%2B5%29=%283%5E2%29%5Ex Rewrite 9 as 3%5E2

3%5E%28x%2B5%29=3%5E%282x%29

Since the bases are equal, this means this is true

x%2B5=2x

5=x Subtract x from both sides

So our answer is

x=5